|Abductive Reasoning by Children - Heidi Kloos, Guy Van Orden|
Children can link facts and events into integrated beliefs. This ability of the mind to combine facts to form higher-order Gestalts is central to many cognitive activities, including problem solving, analogical reasoning, and creative thought. In fact, it is central to the abduction of meaning: the creation of a self-sustaining pattern of ordered facts that are combined in the larger Gestalt. Abduction has mostly escaped experimental investigation, possibly because it often emerges instantly and...
Keywords: Abduction; Reasoning; Nonlinear Dynamics; Constraints; Parameter Dynamics
|scaling relation for a compact crumpled thin sheet - Bai,Wubin /Lin,Yen-Chih /Hou,Tzon-Kun /Hong,Tzay-Ming /|
A high-pressure chamber was designed to study the crumpling of thin sheets beyond the power-law regime. Preceded by a smooth transition, the crumpled ball that characterizes the high-pressure state contains less than 50% air and exhibits separate ordered domains. All the data for different sheet thickness, size, and even number collapse to a master line when using volume ratio and pressure as the plotting parameters...
Keywords: Nonlinear Dynamics; Fluid Dynamics; Classical Optics; condensed matter; crumpling
|Embodiment of Consciousness - Bernhard Bierschenk|
The present article is based on the premise that mind is an emergent property of the processes that produce consciousness. Any scientific understanding must necessarily consider the need of an explanation of consciousness. Instead, the non-sense property of traditional scientific modelling appears to hide the phenomenon. In contrast, the explored hypothesis is based on the assumption that the meaningfulness of natural language is the carrier of consciousness...
Keywords: shapes of mind; AaO-axiom; consciousness; non-linear dynamics; awareness; causal loop diagram; ecological model; brain models; geometrical computation
|MIT 6.832 Underactuated Robotics, Spring 2009 - MIT OpenCourseWare|
Instructor: Russell Tedrake Robots today move far too conservatively, using control systems that attempt to maintain full control authority at all times. Humans and animals move much more aggressively by routinely executing motions which involve a loss of instantaneous control authority. Controlling nonlinear systems without complete control authority requires methods that can reason about and exploit the natural dynamics of our machines...
Keywords: underactuated robotics; actuated systems; nonlinear dynamics; simple pendulum; optimal control; double integrator; quadratic regulator; Hamilton-Jacobi-Bellman sufficiency; minimum time control; acrobot; cart-pole; partial feedback linearization; energy shaping; policy search; open-loop optimal control; trajectory stabilization; iterative linear quadratic regulator; differential dynamic programming; walking models; rimless wheel; compass gait; kneed compass gait; feedback control; running models; spring-loaded inverted pendulum; Raibert hoppers; motion planning; randomized motion planning; rapidly-exploring randomized trees; probabilistic road maps; feedback motion planning; planning with funnels; linear quadratic regulator; function approximation; state distribution dynamics; state estimation; stochastic optimal control; aircraft; swimming; flapping flight; randomized policy gradient; model-free value methods; temporarl difference learning; Q-learning; actor-critic methods
|Nonlinear Models of Neural and Genetic Network Dynamics in a Lukasiewicz Topos - I.C. Baianu|
Preprint: Nonlinear Models of Neural and Genetic Network Dynamics Abstract A categorical and /Lukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is introduced. \Lukasiewicz Algebraic Logic models of both neural and genetic networks and signaling pathways in cells are formulated in terms of nonlinear dynamic systems with N-state components that allow for the generalization of prev...
Keywords: \Lukasiewicz models of Neural and Genetic Networks, Genome and cell interactomics models in terms of categories of \Lukasiewicz logic Algebras and Lukasiewicz Topos; \Lukasiewicz Topos with an n-valued \Lukasiewicz Algebraic Logic subobject classifier; genetic network transformations in Carcinogenesis; developmental processes and Evolution/ Evolutionary Biology; Relational Biology of Archea; yeast and higher eukaryotic organisms; nonlinear dynamics in non-random; hierarchic genetic networks; proteomics coupled genomes via signaling pathways; mechanisms of neoplastic transformations of cells and topological grupoid models of genetic networks in cancer cells; natural transformations of organismic structures in Molecular Biology; Neural and genetic network dynamics; LM-logic algebra; LM-Topoi; neural network development; morphogenesis; neoplastic transformations; LM-logic algebra categories; Lukasiewicz-Moisil Logic Algebra
|On the Emergence of Life and Human Consciousness - I. C. Baianu, Ronald Brown and James F. Glazebrook|
A Monograph Published in: Acta Universitatis Apulensis,ISSN 1582-5329, 2011: 10 (6)-175-298'Special Issue on Understanding Complex Systems,Eds. Barna Iantovics, Ladislav HluchÂ¶y and Roumen Kountchev. Abstract. In this monograph we present a novel approach to the problems raised by higher complexity in both nature and the human society, by considering the most complex levels of objective existence as ontological meta-levels, such as those present in the creative human minds and civilised, mode...
Keywords: Categorical Ontology and the Theory of Levels (COTL); meta-levels; Non- Abelian Categorical Ontology; analysis and synthesis; Theoretical Biology; General Systems Theory and Complex Systems Biology; closed and open systems; boundaries and horizons; complex; super-complex and ultra-complex system dynamics; nonlinear dynamics; autopoiesis and generalised metabolic-replication systems; (M; R)-systems (MRs) and organisms; Theory of Categories; Functors and Natural Transformations (CT); Yoneda-Grothendieck Lemma; category of categories; super-category; or 2-category; n-category; ETAC and ETAS axioms; Non-Abelian Algebraic Topology (NAAT); Double Groupoids; category of double groupoids and double category; Higher Homotopy-Generalised van Kampen theorems (HHGvKTs); Higher Dimensional Algebra (HDA) of Networks; Higher Dimensional Algebra of Brain Functions; non-commutative topological invariants of complex dynamic state spaces; Quantum Algebraic Topology (QAT) and Axiomatic Quantum Theory (AQT); Quantum Double